Question

Which graph represents the piecewise-defined function? y={−45x−3   if  x<03x−10   if  x≥2

Answer 1

Explanation:

`y=\left \Bigg\{ {\big{-45x-3 \qquad x < 0} \atop \big{3x - 10 \qquad x \geq2 }} \right.`

`\begin {array}c{ x&y}}\\ -\infty&-\infty\\-2&-93\\-1&-48\\ 0 &-3^*\\1&nothing\\2&-4\\3&-1\\4&2\\ \infty&\infty\\\end{array}`

* open dot

You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.

Make sure that:

• (0, -3) has an open dot
• nothing is plotted between x = 0 and x = 2
• (2, -4) has a closed dot